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Finding the Fourth Proportional to 223,218.72, 334,874.88 and 65,434.32

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Solution

The fourth proportional to 223,218.72, 334,874.88 and 65,434.32 is: 98,165.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,218.72 : 334,874.88 = 65,434.32 : x
  2. Step 2: Convert to fraction form
    223,218.72/334,874.88 = 65,434.32/x
  3. Step 3: Cross multiply
    223,218.72x = 334,874.88 × 65,434.32
  4. Step 4: Simplify right side
    223,218.72x = 21,912,310,057.88
  5. Step 5: Solve for x
    x = 21,912,310,057.88/223,218.72
  6. Step 6: Final answer
    x = 98,165.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.